driver.m

linear equation routines in matlab

  clear all
  
  x0 = [1.5; 2];
  tolf = 1.e-10;
  tolx = 1.e-10;
  maxit = 100;
  
  % Newton's metjod
  [x, ithist, iflag] = newtnd( 'ex1', x0, tolf, tolx, maxit );
 
  fprintf('\n  Newton''s Method \n ')
  fprintf(' iter      || x ||_2          || F(x) ||_2       || t*s ||_2      t\n ')
  for i = 1:size(ithist,1)
      fprintf('%4d &$ %13.8e $&$ %13.8e $&$ %13.8e $&$ %13.8e $\\\\ \n ', ithist(i,:))
  end


  % Finite Difference Newton Method
  [x, ithist, iflag] = fdnewtnd( 'ex1', x0, tolf, tolx, maxit );
  
  fprintf('\n  Finite Difference Newton Method \n ')
  fprintf(' iter      || x ||_2          || F(x) ||_2       || t*s ||_2    t \n ')
  for i = 1:size(ithist,1)
      fprintf('%4d &$ %13.8e $&$ %13.8e $&$ %13.8e $&$ %13.8e $\\\\ \n ', ithist(i,:))
  end

  % Shamanskii's Method
  m = 5;
  [x, ithist, iflag] = shamnd( 'ex1', x0, m, tolf, tolx, maxit );
  
  fprintf('\n  Shamanskii''s Method \n ')
  fprintf(' iter      || x ||_2          || F(x) ||_2       || s ||_2 \n ')
  for i = 1:size(ithist,1)
      fprintf('%4d &$ %13.8e $&$ %13.8e $&$ %13.8e $\\\\ \n ', ithist(i,:))
  end